Results 61 to 70 of about 24,624 (181)

Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast [PDF]

, 2010
We construct finite-dimensional approximations of solution spaces of divergence form operators with $L^\infty$-coefficients. Our method does not rely on concepts of ergodicity or scale-separation, but on the property that the solution space of these ...
Owhadi, Houman, Zhang, Lei
core   +3 more sources

Extracting the Ultimate New Soliton Solutions of Some Nonlinear Time Fractional PDEs via the Conformable Fractional Derivative

Fractal and Fractional
Nonlinear fractional-order differential equations have an important role in various branches of applied science and fractional engineering. This research paper shows the practical application of three such fractional mathematical models, which are the ...
Md Ashik Iqbal, Abdul Hamid Ganie, M. M. Miah, M. S. Osman   +3 more
semanticscholar   +1 more source

New applications of the fractional derivative to extract abundant soliton solutions of the fractional order PDEs in mathematics physics

Partial Differential Equations in Applied Mathematics
The motive of this research work is to unravel the mysteries of nature through fractional-order partial differential equations (PDEs). Here, we focus on two important fractional order nonlinear PDEs, namely the fractional order (4+1)-dimensional Fokas ...
M. Ashik Iqbal, M. Mamun Miah, H. M. Shahadat Ali, Nur Hasan Mahmud Shahen, Ahmed Deifalla   +4 more
doaj   +1 more source

New solitary wave solutions of (3 + 1)-dimensional nonlinear extended Zakharov-Kuznetsov and modified KdV-Zakharov-Kuznetsov equations and their applications

Results in Physics, 2017
In this paper, new exact solitary wave, soliton and elliptic function solutions are constructed in various forms of three dimensional nonlinear partial differential equations (PDEs) in mathematical physics by utilizing modified extended direct algebraic ...
Dianchen Lu, A.R. Seadawy, M. Arshad, Jun Wang   +3 more
doaj   +1 more source

New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod

Results in Physics, 2018
This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
doaj   +1 more source

Periodic motions galore: How to modify nonlinear evolution equations so that they feature a lot of periodic solutions

, 2002
A simple trick is illustrated, whereby nonlinear evolution equations can be modified so that they feature a lot - or, in some cases, only -- periodic solutions.
Calogero, F., Francoise, J-P
core   +2 more sources

Quasi-periodic solutions for a PDE model arising in hydrodynamics

, 2016
Alice Ambrosio
openalex   +2 more sources

Rigorous a-posteriori analysis using numerical eigenvalue bounds in a surface growth model

, 2017
In order to prove numerically the global existence and uniqueness of smooth solutions of a fourth order, nonlinear PDE, we derive rigorous a-posteriori upper bounds on the supremum of the numerical range of the linearized operator. These bounds also have
Blömker, Dirk, Nolde, Christian
core   +1 more source

Spatial smoothness of the stationary solutions of the 3D Navier--Stokes equations

, 2006
We consider stationary solutions of the three dimensional Navier--Stokes equations (NS3D) with periodic boundary conditions and driven by an external force which might have a deterministic and a random part.
Odasso, Cyril
core   +2 more sources

Lump and Interaction Solutions of Linear PDEs in (3 + 1)-Dimensions

East Asian Journal on Applied Mathematics, 2019
Linear partial differential equations in (3 + 1)-dimensions consisting of all mixed second-order derivatives are considered, and Maple symbolic computations are made to construct their lump and interaction solutions, including lump-periodic, lumpkink and
W. Ma
semanticscholar   +1 more source